The Riccati differential equation approach to certain potential problems in quantum mechanics

Abstract. The method presented in this study is an alternative approach in solving potential problems in quantum mechanics. It is a nonlinear Riccati equation derived from the nonrelativistic Schrodinger equation. This method has the special feature of giving the most general solution to the Schrodi...

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Main Author: Ang, Jeffrey C.
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Published: Animo Repository 1999
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/1707
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Institution: De La Salle University
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-27072022-08-03T09:05:47Z The Riccati differential equation approach to certain potential problems in quantum mechanics Ang, Jeffrey C. Abstract. The method presented in this study is an alternative approach in solving potential problems in quantum mechanics. It is a nonlinear Riccati equation derived from the nonrelativistic Schrodinger equation. This method has the special feature of giving the most general solution to the Schrodinger problem provided a specific solution is known. However, this method is not applicable to all potential problems since it is a nonlinear differential equation. It is also limited to nonrelativistic quantum mechanical situations. 1999-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/1707 Bachelor's Theses Animo Repository
institution De La Salle University
building De La Salle University Library
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country Philippines
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content_provider De La Salle University Library
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description Abstract. The method presented in this study is an alternative approach in solving potential problems in quantum mechanics. It is a nonlinear Riccati equation derived from the nonrelativistic Schrodinger equation. This method has the special feature of giving the most general solution to the Schrodinger problem provided a specific solution is known. However, this method is not applicable to all potential problems since it is a nonlinear differential equation. It is also limited to nonrelativistic quantum mechanical situations.
format text
author Ang, Jeffrey C.
spellingShingle Ang, Jeffrey C.
The Riccati differential equation approach to certain potential problems in quantum mechanics
author_facet Ang, Jeffrey C.
author_sort Ang, Jeffrey C.
title The Riccati differential equation approach to certain potential problems in quantum mechanics
title_short The Riccati differential equation approach to certain potential problems in quantum mechanics
title_full The Riccati differential equation approach to certain potential problems in quantum mechanics
title_fullStr The Riccati differential equation approach to certain potential problems in quantum mechanics
title_full_unstemmed The Riccati differential equation approach to certain potential problems in quantum mechanics
title_sort riccati differential equation approach to certain potential problems in quantum mechanics
publisher Animo Repository
publishDate 1999
url https://animorepository.dlsu.edu.ph/etd_bachelors/1707
_version_ 1740844712569339904